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Finding the Fourth Proportional to 34,362.65, 47,418.22 and 20,212.76

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Solution

The fourth proportional to 34,362.65, 47,418.22 and 20,212.76 is: 27,892.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,362.65 : 47,418.22 = 20,212.76 : x
  2. Step 2: Convert to fraction form
    34,362.65/47,418.22 = 20,212.76/x
  3. Step 3: Cross multiply
    34,362.65x = 47,418.22 × 20,212.76
  4. Step 4: Simplify right side
    34,362.65x = 958,453,100.49
  5. Step 5: Solve for x
    x = 958,453,100.49/34,362.65
  6. Step 6: Final answer
    x = 27,892.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.